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The equations of four circles are $(x \pm a)^{2} + (y \pm a)^{2} = a^{2}$ The radius of a circle touching all the four circles is

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(2+2)a

22a

(2+1)a

(2+2)a

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detailed solution

Correct option is C

The four circle are as shown in the figure.The smallest circle touching all of them has radius 2a-aand the greatest circle touching all of them has radius 2a+a

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The equations of four circles are (x±a)2+(y±a)2=a2 The radius of a circle touching all the four circles is

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Ready to Test Your Skills?

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The equations of four circles are $(x \pm a)^{2} + (y \pm a)^{2} = a^{2}$ The radius of a circle touching all the four circles is